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Session 7 Materials:

Geometry Session 7: Symmetry

Symmetry is one of the most important ideas in mathematics. There can be symmetry in an algebraic calculation, in a proof, or in a geometric design. It's such a powerful idea that when it's used in solving a problem, we say that we exploit the symmetry of the situation. In this session, you will explore geometric versions of symmetry by creating designs and examining their properties.

In This Session:

Part A:

Line Symmetry

Part B:

Rotation Symmetry

Part C:

Translation Symmetry and Frieze Patterns



For information on required and/or optional materials for this session, see Note 1.

Learning Objectives

In this session, you will do the following:


Learn about geometric symmetry


Explore line or reflection symmetry


Explore rotation symmetry


Explore translation symmetry and frieze patterns

video icon

Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.


Previously Introduced:

New in This Session:



frieze pattern
glide reflection
reflection or line symmetry
rotation symmetry
translation symmetry

Next > Part A: Line Symmetry

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